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Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements
10 references·0 citing·33 second hop
Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements (2023)Extended statistical linearization approa…Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)Approximate survival probabil…Sixty years of stochastic linearization technique (2016)Sixty years of stochastic lin…Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Galerkin Scheme-Based Determi…Design sensitivity analysis of structures with viscoelastic dampers (2015)Design sensitivity analysis o…Stationary and non-stationary stochastic response of linear fractional viscoelastic systems (2011)Stationary and non-stationary…On using non-Gaussian distributions to perform statistical linearization (2004)On using non-Gaussian distrib…Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives (1997)Random Vibration of Systems w…Stochastic Linearization in Structural Dynamics (1988)Stochastic Linearization in S…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Probability of Response to Evolutionary Process (1980)Probability of Response to Ev…Probabilistic Theory of Structural Dynamics (1976)A non-Gaussian stochastic linearization method (2006)Formulation of Statistical Linearization for M-D-O-F Systems Subject to Combined Periodic and Stochastic Excitations (2019)A linearization scheme for vibrations due to combined deterministic and stochastic loads (2020)Introduction to Random Vibrations (1983)Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers (2015)Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE (2022)Global Sensitivity Analysis (1995)Review of options for structural design sensitivity analysis. Part 1: Linear systems (2005)Global Sensitivity Analysis. The Primer (2007)Design sensitivity analysis for transient response of non-viscously damped dynamic systems (2017)Design sensitivity analysis for transient response of non-viscously damped systems based on direct differentiate method (2018)Dynamic Sensitivity Analysis Based on Sherman–Morrison–Woodbury Formula (2019)Random vibration and statistical linearization (1990)Stochastic Dynamics of Structures (2009)Nonstationary solutions of nonlinear dynamical systems excited by Gaussian white noise (2018)A physics and data co-driven surrogate modeling method for high-dimensional rare event simulation (2024)Monte Carlo solution of structural dynamics (1972)Finite element methods in probabilistic mechanics (1987)Stochastic Dynamics and Control (2006)A new general law of deformation (1921)A time-variant extreme-value event evolution method for time-variant reliability analysis (2019)Random vibration and statistical linearization (1990)Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration (2022)Efficient path integral approach via analytical asymptotic expansion for nonlinear systems under Gaussian white noise (2024)Cumulants of Stochastic Response for Linear Systems (1986)Stochastic joint time–frequency response analysis of nonlinear structural systems (2013)Survival Probability Determination of Nonlinear Oscillators Subject to Evolutionary Stochastic Excitation (2013)Nonlinear Random Vibrations of Beams with Fractional Derivative Elements (2014)An efficient framework for the elasto-plastic reliability assessment of uncertain wind excited systems (2015)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)
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References

  • 1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
  • 1988Stochastic Linearization in Structural Dynamics196 cited
  • 2011Stationary and non-stationary stochastic response of linear fractional viscoelastic systems115 cited
  • 1997Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives113 cited
  • 2016Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements72 cited
  • 2017Approximate survival probability determination of hysteretic systems with fractional derivative elements72 cited
  • 1980Probability of Response to Evolutionary Process57 cited
  • 2016Sixty years of stochastic linearization technique52 cited
  • 2015Design sensitivity analysis of structures with viscoelastic dampers51 cited
  • 2004On using non-Gaussian distributions to perform statistical linearization37 cited

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